In this thesis, general nonlinear Schrödinger equation is solved in very detailed numerical process by using Symmetrized Split-Step Fourier Method (S-SSFM), Higher-Order Symmetrized Split-Step Fourier Method (HO-S-SSFM) and Predictor-Corrector Symmetrized Split-Step Fourier Method (PC-S-SSFM). We simulated the SC generations in the PCF by using HO-S-SSFM and PC-S-SSFM respectively. To our knowledge, this is the first time the PC-S-SSFM is used in simulations of SC generation. Typical physical parameters of a PCF are chosen in our simulations. Based on the same condition, the simulation results of the HO-S-SSFM and the PC-S-SSFM are compared with the results from a published paper, and the comparison proves that our simulations are correct and accurate. Then, the time used by the HO-S-SSFM and the PC-S-SSFM in our simulations are compared at different points of propagation along the PCF and at the end of the PCF with different step sizes. The comparison results show that the PC-S-SSFM can save almost one third time used by the HO-S-SSFM under the same accuracy.

The optical fiber based supercontinuum source has recently become a significant scientific and commercial success, with applications ranging from frequency comb production to advanced medical imaging. This one-of-a-kind book explains the theory of fiber supercontinuum broadening, describes the diverse operational regimes and indicates principal areas of applications, making it a very important guide for researchers and graduate students. With contributions from major figures and groups who have pioneered research in this field, the book describes the historical development of the subject, provides a background to the associated nonlinear optical processes, treats the generation mechanisms from continuous wave to femtosecond pulse pump regimes and highlights the diverse applications. A full discussion of numerical methods and comprehensive computer code are also provided, enabling readers to confidently predict and model supercontinuum generation characteristics under realistic conditions.

As a reason of information explosion, electronic communication networks are not sufficient for high bit rate data transmission. This problem has been solved by optical networks which caused the birth of a new area of technology, photonics. In photonic circuits photons play the dominant role and they transfer the optical data. With the growth of the photonics technology, a new area started to grow as photonic crystals which now play an important role in designing and manufacturing compact photonic devices. Photonic crystals are structures with alternative dielectric constant in one, two or three dimensions which are called one, two or three dimensional photonic crystals. By using the properties of photonic band gap, many interesting phenomena such as slow light generation, dispersion engineering in a compact and low size device can be achieved.

Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications. Starting from Maxwell's equations and Fourier analysis, the authors develop the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory. They then investigate the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions. This new edition includes entirely new chapters describing important hybrid structures that use band gaps or periodicity only in some directions: periodic waveguides, photonic-crystal slabs, and photonic-crystal fibers. The authors demonstrate how the capabilities of photonic crystals to localize light can be put to work in devices such as filters and splitters. A new appendix provides an overview of computational methods for electromagnetism. Existing chapters have been considerably updated and expanded to include many new three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode theory, discussions of diffraction and refraction at crystal interfaces, and more. Richly illustrated and accessibly written, Photonic Crystals is an indispensable resource for students and researchers. Extensively revised and expanded Features improved graphics throughout Includes new chapters on photonic-crystal fibers and combined index-and band-gap-guiding Provides an introduction to coupled-mode theory as a powerful tool for device design Covers many new topics, including omnidirectional reflection, anomalous refraction and diffraction, computational photonics, and much more.

The aim of the work is give an overview of the activity in the field of Photonic Crystal developed in the frame of COST P11 action . The main objective of the COST P11 action was to unify and coordinate national efforts aimed at studying linear and nonlinear optical interactions with Photonic Crystals (PCs), without neglecting an important aspect related to the material research as idea and methods of realizations of 3D PC, together with the development and implementation of measurement techniques for the experimental evaluation of their potential applications in different area, as for example telecommunication with novel optical fibers, lasers, nonlinear multi-functionality, display devices, opto-electronics, sensors. The book contains contributions from authors who gave their lecture at the Cost P11 Training School.

This book is a contemporary overview of selected topics in fiber optics. It focuses on the latest research results on light wave manipulation using nonlinear optical fibers, with the aim of capturing some of the most innovative developments on this topic. The book’s scope covers both fundamentals and applications from both theoretical and experimental perspectives, with topics including linear and nonlinear effects, pulse propagation phenomena and pulse shaping, solitons and rogue waves, novel optical fibers, supercontinuum generation, polarization management, optical signal processing, fiber lasers, optical wave turbulence, light propagation in disordered fiber media, and slow and fast light. With contributions from leading-edge scientists in the field of nonlinear photonics and fiber optics, they offer an overview of the latest advances in their own research area. The listing of recent research papers at the end of each chapter is useful for researchers using the book as a reference. As the book addresses fundamental and practical photonics problems, it will also be of interest to, and benefit, broader academic communities, including areas such as nonlinear science, applied mathematics and physics, and optical engineering. It offers the reader a wide and critical overview of the state-of-the-art within this practical – as well as fundamentally important and interesting – area of modern science, providing a useful reference which will encourage further research and advances in the field.

In recent decades, there has been a phenomenal growth in the field of photonic crystal research and has emerged as an interdisciplinary area. Photonic crystals are usually nanostructured electromagnetic media consisting of periodic variation of dielectric constant, which prohibit certain electromagnetic wave frequency ranges called photonic bandgaps to propagate through them. Photonic crystals elicited numerous interesting features by unprecedented control of light and their exploitation is a promising tool in nanophotonics and designing optical components. The book ‘Advances in Photonic Crystals and Devices’ is designed with 15 chapters with introductory as well as research and application based contents. It covers the following highlighted features: Basics of photonic crystals and photonic crystal fibers Different theoretical as well as experimental approaches Current research advances from around the globe Nonlinear optics and super-continuum generation in photonic crystal fibers Magnetized cold plasma photonic crystals Liquid crystal defect embedded with graphene layers Biophysics and biomedical applications as optical sensors Two-dimensional photonic crystal demultiplexer Optical logic gates using photonic crystals A large number of references The goal of this book is to draw the background in understanding, fabrication and characterization of photonic crystals using a variety of materials and their applications in design of several optical devices. Though the book is useful as a reference for the researchers working in the area of photonics, optical computing and fabrication of nanophotonic devices, it is intended for the beginners like students pursuing their masters’ degree in photonics.